The table below shows the number of state-registered automatic weapons and the murder rate for several states in the U.S. 11.6 8.4 6.7 3.5 2.7 2.7 2.2 0.9 y | 14.1 11.3| 9.9 | 6.8 6.2 6.3 5.8 5 z- thousands of automatic weapons y = murders per 100,000 residents Keep in mind, the data in the table do not necessarily imply a direct causal link between the two variables. (In fact, can you think of any reasons why these variables may not be directly related to each other?) Also, the purpose of this question is not to make a political statement about guns or gun control. It's only to illustrate that data such as these sometimes have mathematical relationships that can be modeled with Linear equations. Those relationships should always be questioned and examined carefully. With that said, these data can be modeled by the equation y = 0.87x + 3.95. Use this equation to answer the following; A) If this model is consistent, how many murders per 100,000 residents can be expected in a state with 8.7 thousand automatic weapons? (Give your answer to three (3) decimal places.) Answere B) If this model is consistent, how many murders per 100,000 residents can be expected in a state with 2.3 thousand automatic weapons? (Give your answer to three (3) decimal places.) Answer
The table below shows the number of state-registered automatic weapons and the murder rate for several states in the U.S. 11.6 8.4 6.7 3.5 2.7 2.7 2.2 0.9 y | 14.1 11.3| 9.9 | 6.8 6.2 6.3 5.8 5 z- thousands of automatic weapons y = murders per 100,000 residents Keep in mind, the data in the table do not necessarily imply a direct causal link between the two variables. (In fact, can you think of any reasons why these variables may not be directly related to each other?) Also, the purpose of this question is not to make a political statement about guns or gun control. It's only to illustrate that data such as these sometimes have mathematical relationships that can be modeled with Linear equations. Those relationships should always be questioned and examined carefully. With that said, these data can be modeled by the equation y = 0.87x + 3.95. Use this equation to answer the following; A) If this model is consistent, how many murders per 100,000 residents can be expected in a state with 8.7 thousand automatic weapons? (Give your answer to three (3) decimal places.) Answere B) If this model is consistent, how many murders per 100,000 residents can be expected in a state with 2.3 thousand automatic weapons? (Give your answer to three (3) decimal places.) Answer
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Question
Transcribed Image Text:The table below shows the number of state-registered automatic weapons and the murder rate for several
states in the U.S.
11.6
8.4
6.7
3.5
2.7
2.7
2.2
0.9
14.1
11.3
9.9
6.8
6.2
6.3
5.8
I = thousands of automatic weapons
y = murders per 100,000 residents
Keep in mind, the data in the table do not necessarily imply a direct causal link between the two variables.
(In fact, can you think of any reasons why these variables may not be directly related to each other?) Also,
the purpose of this question is not to make a political statement about guns or gun control. It's only to
illustrate that data such as these sometimes have mathematical relationships that can be modeled with
linear equations. Those relationships should always be questioned and examined carefully.
With that said, these data can be modeled by the equation y = 0.87z + 3.95. Use this equation to
answer the following;
A) If this model is oconsistent, how many murders per 100,000 residents can be expected in a state with 8.7
thousand automatic weapons? (Give your answer to three (3) decimal places.)
Answer =
B) If this model is consistent, how many murders per 100,000 residents can be expected in a state with 2.3
thousand automatic weapons? (Give your answer to three (3) decimal places.)
Answer =
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